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Question: Two waves are represented by the following equations : y<sub>1</sub> = 5 sin 2p (10t – 0.1 x) and y...

Two waves are represented by the following equations :

y1 = 5 sin 2p (10t – 0.1 x) and y2 = 10 sin 2p(20t – 0.2x)

Ratio of intensities I2/I1 will be -

A

1

B

2

C

4

D

16

Answer

16

Explanation

Solution

For Ist wave

A1 = 5, n1 = 10

For 2nd wave A2 = 10, n2 = 20

I2I1\frac{I_{2}}{I_{1}} = A22n22A12n12\frac{A_{2}^{2}n_{2}^{2}}{A_{1}^{2}n_{1}^{2}}

= (10)2(20)2(5)2(10)2\frac{(10)^{2}(20)^{2}}{(5)^{2}(10)^{2}}= 16